I feel a similar way when I meet other foxes. Like a sort of kinship and mutual understanding that's difficult to describe.
Perfectly reasonable to have that thought, as it is easy to overthink this stuff. For me, what basically confirmed my self reflections was the phantom sensations that I'd get and explaining certain behaviors that I'd have. That seemed to go a bit further than "it's just in my head", but that's an important distinction to make.